The transmission of electrons through a domain wall has long been a subject of interest because
the interaction of electron spins and the localized magnetic moments will affect the transmission
probability and thus plays an important role of determining the macroscopic resistance of such
materials[1]}.
Theoretically, the spin-dependent problem of transport has attracted not only in the domain walls
but also in various settings of mesoscopic systems[2]}, [3]}, [4]}, [5]}, [6]}.
It may also be regarded as a kind of quantum tunneling
of a particle with internal degrees of freedom[7]}, [8]}, [9]}, [10]}.
